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Anasol.jl

Module Anasol.jl provides a series of analytical solutions for groundwater contaminant transport in 1, 2, and 3 dimensions. The provided solutions have:

  • different source types

    • instantaneous contaminant release
    • continuous contaminant release with a unit flux
    • continuous contaminant release with a given constant flux
    • different source shapes

    • constrained (within predefined limits)

    • distributed (assuming normal distribution)
    • different dispersion models

    • classical (Fickian)

    • Brownian
    • different boundaries along each axis

    • infinite (no boundary)

    • reflecting
    • absorbing

All functions have the following arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Anasol.jl module functions:

# Anasol.long_b_b_a_cFunction.

1-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained
  • Dispersion: X - brownian
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_b_a_cfFunction.

1-dimensional continuous contaminant release with a given flux

  • Source: X - constrained
  • Dispersion: X - brownian
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_b_a_ckernelFunction.

1-dimensional contaminant source kernel

  • Source: X - constrained
  • Dispersion: X - brownian
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_b_i_cFunction.

1-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained
  • Dispersion: X - brownian
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_b_i_cfFunction.

1-dimensional continuous contaminant release with a given flux

  • Source: X - constrained
  • Dispersion: X - brownian
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_b_i_ckernelFunction.

1-dimensional contaminant source kernel

  • Source: X - constrained
  • Dispersion: X - brownian
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_b_r_cFunction.

1-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained
  • Dispersion: X - brownian
  • Boundary: X - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_b_r_cfFunction.

1-dimensional continuous contaminant release with a given flux

  • Source: X - constrained
  • Dispersion: X - brownian
  • Boundary: X - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_b_r_ckernelFunction.

1-dimensional contaminant source kernel

  • Source: X - constrained
  • Dispersion: X - brownian
  • Boundary: X - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_d_a_cFunction.

1-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed
  • Dispersion: X - brownian
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_d_a_cfFunction.

1-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed
  • Dispersion: X - brownian
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_d_a_ckernelFunction.

1-dimensional contaminant source kernel

  • Source: X - dispersed
  • Dispersion: X - brownian
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_d_i_cFunction.

1-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed
  • Dispersion: X - brownian
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_d_i_cfFunction.

1-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed
  • Dispersion: X - brownian
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_d_i_ckernelFunction.

1-dimensional contaminant source kernel

  • Source: X - dispersed
  • Dispersion: X - brownian
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_d_r_cFunction.

1-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed
  • Dispersion: X - brownian
  • Boundary: X - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_d_r_cfFunction.

1-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed
  • Dispersion: X - brownian
  • Boundary: X - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_d_r_ckernelFunction.

1-dimensional contaminant source kernel

  • Source: X - dispersed
  • Dispersion: X - brownian
  • Boundary: X - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_aa_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_aa_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_aa_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ai_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ai_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ai_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ar_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ar_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ar_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ia_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ia_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ia_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ii_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ii_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ii_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ir_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ir_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ir_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ra_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ra_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ra_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ri_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ri_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ri_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_rr_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_rr_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_rr_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_aa_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_aa_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_aa_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ai_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ai_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ai_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ar_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ar_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ar_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ia_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ia_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ia_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ii_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ii_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ii_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ir_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ir_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ir_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ra_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ra_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ra_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ri_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ri_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ri_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_rr_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_rr_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_rr_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_aa_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_aa_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_aa_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ai_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ai_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ai_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ar_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ar_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ar_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ia_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ia_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ia_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ii_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ii_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ii_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ir_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ir_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ir_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ra_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ra_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ra_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ri_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ri_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ri_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_rr_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_rr_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_rr_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_aa_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_aa_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_aa_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ai_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ai_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ai_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ar_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ar_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ar_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ia_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ia_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ia_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ii_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ii_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ii_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ir_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ir_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ir_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ra_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ra_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ra_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ri_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ri_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ri_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_rr_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_rr_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_rr_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_aa_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_aa_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_aa_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ai_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ai_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ai_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ar_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ar_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ar_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ia_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ia_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ia_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ii_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ii_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ii_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ir_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ir_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ir_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ra_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ra_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ra_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ri_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ri_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ri_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_rr_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_rr_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_rr_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_aa_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_aa_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_aa_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ai_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ai_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ai_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ar_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ar_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ar_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ia_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ia_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ia_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ii_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ii_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ii_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ir_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ir_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ir_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ra_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ra_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ra_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ri_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ri_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ri_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_rr_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_rr_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_rr_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_aa_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_aa_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_aa_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ai_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ai_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ai_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ar_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ar_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ar_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ia_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ia_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ia_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ii_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ii_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ii_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ir_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ir_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ir_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ra_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ra_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ra_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ri_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ri_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ri_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_rr_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_rr_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_rr_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_aa_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_aa_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_aa_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ai_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ai_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ai_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ar_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ar_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ar_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ia_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ia_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ia_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ii_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ii_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ii_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ir_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ir_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ir_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ra_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ra_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ra_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ri_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ri_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ri_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_rr_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_rr_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_rr_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_b_a_cFunction.

1-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained
  • Dispersion: X - fractional
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_b_a_cfFunction.

1-dimensional continuous contaminant release with a given flux

  • Source: X - constrained
  • Dispersion: X - fractional
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_b_a_ckernelFunction.

1-dimensional contaminant source kernel

  • Source: X - constrained
  • Dispersion: X - fractional
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_b_i_cFunction.

1-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained
  • Dispersion: X - fractional
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_b_i_cfFunction.

1-dimensional continuous contaminant release with a given flux

  • Source: X - constrained
  • Dispersion: X - fractional
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_b_i_ckernelFunction.

1-dimensional contaminant source kernel

  • Source: X - constrained
  • Dispersion: X - fractional
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_b_r_cFunction.

1-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained
  • Dispersion: X - fractional
  • Boundary: X - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_b_r_cfFunction.

1-dimensional continuous contaminant release with a given flux

  • Source: X - constrained
  • Dispersion: X - fractional
  • Boundary: X - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_b_r_ckernelFunction.

1-dimensional contaminant source kernel

  • Source: X - constrained
  • Dispersion: X - fractional
  • Boundary: X - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_d_a_cFunction.

1-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed
  • Dispersion: X - fractional
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_d_a_cfFunction.

1-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed
  • Dispersion: X - fractional
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_d_a_ckernelFunction.

1-dimensional contaminant source kernel

  • Source: X - dispersed
  • Dispersion: X - fractional
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_d_i_cFunction.

1-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed
  • Dispersion: X - fractional
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_d_i_cfFunction.

1-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed
  • Dispersion: X - fractional
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_d_i_ckernelFunction.

1-dimensional contaminant source kernel

  • Source: X - dispersed
  • Dispersion: X - fractional
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_d_r_cFunction.

1-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed
  • Dispersion: X - fractional
  • Boundary: X - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_d_r_cfFunction.

1-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed
  • Dispersion: X - fractional
  • Boundary: X - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_d_r_ckernelFunction.

1-dimensional contaminant source kernel

  • Source: X - dispersed
  • Dispersion: X - fractional
  • Boundary: X - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_aa_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_aa_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_aa_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ai_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ai_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ai_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ar_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ar_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ar_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ia_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ia_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ia_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ii_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ii_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ii_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ir_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ir_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ir_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ra_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ra_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ra_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ri_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ri_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ri_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_rr_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_rr_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_rr_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_aa_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_aa_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_aa_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ai_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ai_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ai_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ar_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ar_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ar_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ia_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ia_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ia_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ii_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ii_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ii_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ir_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ir_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ir_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ra_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ra_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ra_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ri_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ri_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ri_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_rr_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_rr_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_rr_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_aa_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_aa_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_aa_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ai_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ai_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ai_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ar_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ar_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ar_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ia_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ia_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ia_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ii_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ii_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ii_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ir_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ir_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ir_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ra_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ra_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ra_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ri_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ri_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ri_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_rr_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_rr_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_rr_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_aa_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_aa_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_aa_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ai_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ai_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ai_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ar_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ar_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ar_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ia_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ia_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ia_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ii_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ii_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ii_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ir_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ir_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ir_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ra_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ra_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ra_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ri_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ri_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ri_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_rr_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_rr_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_rr_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_aa_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_aa_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_aa_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ai_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ai_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ai_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ar_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ar_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ar_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ia_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ia_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ia_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ii_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ii_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ii_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ir_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ir_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ir_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ra_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ra_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ra_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ri_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ri_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ri_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_rr_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_rr_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_rr_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_aa_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_aa_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_aa_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ai_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ai_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ai_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ar_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ar_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ar_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ia_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ia_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ia_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ii_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ii_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ii_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ir_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ir_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ir_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ra_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ra_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ra_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ri_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ri_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ri_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_rr_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_rr_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_rr_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_aa_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_aa_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_aa_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ai_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ai_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ai_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ar_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ar_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ar_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ia_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ia_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ia_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ii_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ii_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ii_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ir_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ir_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ir_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ra_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ra_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ra_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ri_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ri_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ri_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_rr_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_rr_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_rr_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_aa_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_aa_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_aa_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ai_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ai_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ai_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ar_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ar_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ar_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ia_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ia_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ia_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ii_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ii_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ii_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ir_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ir_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ir_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ra_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ra_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ra_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ri_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ri_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ri_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_rr_cFunction.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_rr_cfFunction.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_rr_ckernelFunction.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_aaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_aaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_aaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_aai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_aai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_aai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_aar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_aar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_aar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_aia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_aia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_aia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_aii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_aii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_aii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_air_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_air_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_air_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_ara_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_ara_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_ara_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_ari_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_ari_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_ari_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_arr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_arr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_arr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iaa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iaa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iaa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iia_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iia_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iia_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_ira_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_ira_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_ira_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_irr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_irr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_irr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_raa_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_raa_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_raa_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rai_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rai_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rai_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rar_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rar_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rar_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_ria_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_ria_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_ria_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rii_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rii_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rii_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rir_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rir_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rir_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rra_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rra_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rra_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rri_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rri_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rri_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rrr_cFunction.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

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# Anasol.long_fff_ddd_rrr_cfFunction.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

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# Anasol.long_fff_ddd_rrr_ckernelFunction.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

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# Anasol.@codeMacro.

code the code macro is used to put a line of code (or a quote) onto the growing gen_code function.

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# Anasol.@gen_codeMacro.

gen_code rejigs the standard julia @generate macro so that it creates a code expression variable that can be extended using the @code macro. At the end of the function it automatically outputs the result.

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